Atkin-Lehner |
5- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
97405h |
Isogeny class |
Conductor |
97405 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-441846125875 = -1 · 53 · 74 · 112 · 233 |
Discriminant |
Eigenvalues |
0 -2 5- 7+ 11- 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1885,-4944] |
[a1,a2,a3,a4,a6] |
Generators |
[8:103:1] [10:122:1] |
Generators of the group modulo torsion |
j |
6118458097664/3651620875 |
j-invariant |
L |
7.1966929924464 |
L(r)(E,1)/r! |
Ω |
0.54859724370149 |
Real period |
R |
0.72879745933936 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97405k1 |
Quadratic twists by: -11 |